Final answer:
To solve for the constant k in Coulomb's Law, rearrange the formula to k = F × r² / (q × Q). This formula uses the force (F), the distance (r), and the magnitudes of the charges (q and Q). none of the provided options are correct.
Step-by-step explanation:
The formula that represents Coulomb's Law when solved for the constant k is:
k = F × r² / (q × Q)
This is derived from the original form of Coulomb's Law, F = k × |qQ| / r², where:
- F is the electrical force between two charges.
- q and Q represent the magnitudes of the charges.
- r is the distance between the two charges.
- k is Coulomb's constant, which in SI units has the value of approximately 8.99 × 10⁹ Nm²/C².
When you rearrange the formula to solve for k, you multiply both sides by r² and then divide by the product of the charges q and Q, arriving at the formula for k. none of the provided options are correct.